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Simplifying -1(y + -1x) + 12(4c + -10) = 0 Reorder the terms: -1(-1x + y) + 12(4c + -10) = 0 (-1x * -1 + y * -1) + 12(4c + -10) = 0 (1x + -1y) + 12(4c + -10) = 0 Reorder the terms: 1x + -1y + 12(-10 + 4c) = 0 1x + -1y + (-10 * 12 + 4c * 12) = 0 1x + -1y + (-120 + 48c) = 0 Reorder the terms: -120 + 48c + 1x + -1y = 0 Solving -120 + 48c + 1x + -1y = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 48c + 1x + 120 + -1y = 0 + 120 Reorder the terms: -120 + 120 + 48c + 1x + -1y = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 48c + 1x + -1y = 0 + 120 48c + 1x + -1y = 0 + 120 Combine like terms: 0 + 120 = 120 48c + 1x + -1y = 120 Add '-1x' to each side of the equation. 48c + 1x + -1x + -1y = 120 + -1x Combine like terms: 1x + -1x = 0 48c + 0 + -1y = 120 + -1x 48c + -1y = 120 + -1x Add 'y' to each side of the equation. 48c + -1y + y = 120 + -1x + y Combine like terms: -1y + y = 0 48c + 0 = 120 + -1x + y 48c = 120 + -1x + y Divide each side by '48'. c = 2.5 + -0.02083333333x + 0.02083333333y Simplifying c = 2.5 + -0.02083333333x + 0.02083333333y
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